Hierarchical regression
Add predictors in blocks and see how much R² changes.
When to use it
Use hierarchical regression when you, not an algorithm, decide the order. For example: enter study hours first, then ask whether anxiety still explains exam score after hours are already in the model.
Assumptions
Same straight-line model as linear regression. Tensr does not add residual plots or a collinearity table on this procedure.
Running it in Tensr
Options
Prop
Type
Reading the output
Hours go in first. Anxiety is added in a second block. Each block was built to add a slice of R², not to swallow the outcome.
| Block | Predictors | R² | Adj R² | ΔR² | F-change | p-change |
|---|---|---|---|---|---|---|
| 1 | hours | 0.107 | 0.097 | — | — | — |
| 2 | anxiety | 0.231 | 0.215 | 0.124 | 15.047 | < .001 |
| Variable | B | SE | β | 95% CI | p-value |
|---|---|---|---|---|---|
| hours | 2.062 | 0.619 | 0.303 | [0.832, 3.292] | .001 |
| anxiety | -2.092 | 0.539 | -0.353 | [-3.162, -1.021] | < .001 |
Hierarchical regression for score with 2 block(s). Hierarchical regression for score with 2 block(s). Metrics: Final R² = 0.231; Adj R² = 0.215; N = 96.
Reporting (APA 7)
Hierarchical regression for score with 2 block(s). Report the estimate in the table. This procedure is not summarised by one p-value.
Coming from SPSS
Analyze → Regression → Linear → Hierarchical.
SPSS hierarchical regression is the Block button in Linear Regression: you assign predictors to Block 1 of 1, then the next block. Tensr takes those blocks as a list.
Related
Letting the software pick the order is the Stepwise regression section of linear regression. A single block is that same page with method enter.